Κύριο περιεχόμενο
Math
Common Core Math
High School: Statistics & Probability: Conditional Probability & the Rules of Probability
Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).
Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.
Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.
Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities.
Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.
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Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model.
Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model.
Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model.
Use permutations and combinations to compute probabilities of compound events and solve problems.
- Combination example: 9 card hands
- Combination formula
- Combinations
- Example: Different ways to pick officers
- Example: Lottery probability
- Factorial and counting seat arrangements
- Handshaking combinations
- Intro to combinations
- Mega millions jackpot probability
- Permutation formula
- Permutations
- Possible three letter words
- Probability using combinations
- Probability with combinations example: choosing cards
- Probability with combinations example: choosing groups
- Probability with permutations & combinations example: taste testing
- Probability with permutations and combinations
- Ways to arrange colors
- Ways to pick officers
- Zero factorial or 0!